Question

sin2x/(1 + cos2x) = tanx​

Answer 1

Answer:

This is the answer of this question. Hope it's right .

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

1.

$sin \: 2x = 2 \: sinx \: cosx$

2.

$1 + cos \: 2x = 2 \: {cos}^{2} x$

TO PROVE

$\displaystyle \: \frac{sin \: 2x}{1 + \: cos \: 2x} = tan \: x$

PROOF

$\displaystyle \: \frac{sin \: 2x}{1 + \: cos \: 2x}$

$= \displaystyle \: \frac{2 \: sinx \: cosx}{2 \: {cos}^{2} x}$

$= \displaystyle \: \frac{ \: sinx \: }{ \: {cos}x}$

$= tan \: x$